Quasilinear elliptic equations with natural growth and quasilinear elliptic equations with singular drift
arXiv:1809.00569 · doi:10.1016/j.na.2019.03.008
Abstract
We prove an existence result for a quasilinear elliptic equation satisfying natural growth conditions. As a consequence, we deduce an existence result for a quasilinear elliptic equation containing a singular drift. A key tool, in the proof, is the study of an auxiliary variational inequality playing the role of "natural constraint"
11 pages